LCM of 318, 848, 979, 682, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 848, 979, 682, 974 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 318, 848, 979, 682, 974. So, keep reading to learn more.
Given numbers are 318,848,979,682,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,848,979,682,974 is 37600225872.
Find LCM of 318,848,979,682,974 with Prime Factorization
| 2 | 318, 848, 979, 682, 974 |
| 11 | 159, 424, 979, 341, 487 |
| 53 | 159, 424, 89, 31, 487 |
| 3, 8, 89, 31, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 53 x 3 x 8 x 89 x 31 x 487 = 37600225872
Therefore, the lowest common multiple of 318,848,979,682,974 is 37600225872.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
318 x 848 x 979 x 682 x 974 = 175367453467008
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
318 : 1, 2, 3, 6, 53, 106, 159, 318
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
979 : 1, 11, 89, 979
682 : 1, 2, 11, 22, 31, 62, 341, 682
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,848,979,682,974, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
848:2x 2x 2x 2x 53
979:11x 89
682:2x 11x 31
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 53 = 4664
Therefore, the value for common factors is 4664.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 175367453467008/(1x4664)
LCM = 175367453467008/4664
LCM = 37600225872
Thus, we can understand that the LCM of 318,848,979,682,974 is 37600225872.
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FAQs on LCM of 318, 848, 979, 682, 974
1. What is the LCM of 318, 848, 979, 682, 974?
Answer: LCM of 318, 848, 979, 682, 974 is 37600225872.
2. How to calculate the LCM of 318, 848, 979, 682, 974?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 318, 848, 979, 682, 974.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.